Search a number
-
+
29959523411280 = 2435674076345707
BaseRepresentation
bin1101100111111011111101…
…10000000010010101010000
310221002002202200212000011120
412303331332300002111100
512411324100443130110
6143415114241242240
76211334630146011
oct663757660022520
9127062680760146
1029959523411280
119600842a16941
12343a433933380
13139422b710938
1475809779d008
1536e4b1550870
hex1b3f7ec02550

29959523411280 has 160 divisors (see below), whose sum is σ = 94265084219904. Its totient is φ = 7869599113728.

The previous prime is 29959523411273. The next prime is 29959523411341. The reversal of 29959523411280 is 8211432595992.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655446187 + ... + 655491893.

Almost surely, 229959523411280 is an apocalyptic number.

29959523411280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29959523411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47132542109952).

29959523411280 is an abundant number, since it is smaller than the sum of its proper divisors (64305560808624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29959523411280 is a wasteful number, since it uses less digits than its factorization.

29959523411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86553 (or 86547 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 29959523411280 in words is "twenty-nine trillion, nine hundred fifty-nine billion, five hundred twenty-three million, four hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 40763 45707 81526 91414 122289 137121 163052 182828 203815 228535 244578 274242 326104 365656 407630 457070 489156 548484 611445 652208 685605 731312 815260 914140 978312 1096968 1222890 1371210 1630520 1828280 1956624 2193936 2445780 2731121 2742420 3062369 3261040 3656560 4891560 5462242 5484840 6124738 8193363 9187107 9783120 10924484 10969680 12249476 13655605 15311845 16386726 18374214 21848968 24498952 27311210 30623690 32773452 36748428 40966815 43697936 45935535 48997904 54622420 61247380 65546904 73496856 81933630 91871070 109244840 122494760 131093808 146993712 163867260 183742140 218489680 244989520 327734520 367484280 655469040 734968560 1863154441 3726308882 5589463323 7452617764 9315772205 11178926646 14905235528 18631544410 22357853292 27947316615 29810471056 37263088820 44715706584 55894633230 74526177640 89431413168 111789266460 124831347547 149052355280 223578532920 249662695094 374494042641 447157065840 499325390188 624156737735 748988085282 998650780376 1248313475470 1497976170564 1872470213205 1997301560752 2496626950940 2995952341128 3744940426410 4993253901880 5991904682256 7489880852820 9986507803760 14979761705640 29959523411280